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Finding the Fourth Proportional to 8,687.64, 12,998.94 and 5,164.80

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Solution

The fourth proportional to 8,687.64, 12,998.94 and 5,164.80 is: 7,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.64 : 12,998.94 = 5,164.80 : x
  2. Step 2: Convert to fraction form
    8,687.64/12,998.94 = 5,164.80/x
  3. Step 3: Cross multiply
    8,687.64x = 12,998.94 × 5,164.80
  4. Step 4: Simplify right side
    8,687.64x = 67,136,925.31
  5. Step 5: Solve for x
    x = 67,136,925.31/8,687.64
  6. Step 6: Final answer
    x = 7,727.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.